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Finding the Fourth Proportional to 710,146.50, 980,031.33 and 408,340.50

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Solution

The fourth proportional to 710,146.50, 980,031.33 and 408,340.50 is: 563,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,146.50 : 980,031.33 = 408,340.50 : x
  2. Step 2: Convert to fraction form
    710,146.50/980,031.33 = 408,340.50/x
  3. Step 3: Cross multiply
    710,146.50x = 980,031.33 × 408,340.50
  4. Step 4: Simplify right side
    710,146.50x = 400,186,483,307.87
  5. Step 5: Solve for x
    x = 400,186,483,307.87/710,146.50
  6. Step 6: Final answer
    x = 563,526.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.